Two lighthouses are located 20 miles from one another on a north-south line. If a boat is spotted S 25o E from the northern lighthouse and N 35o E from the southern lighthouse, how much closer is the closest lighthouse to the boat than the lighthouse furthest away?
The northern lighthouse is 7.2 miles closer than the southern lighthouse.
The southern lighthouse is 9.8 miles closer than the northern lighthouse.
The southern lighthouse is 3.4 miles closer than the northern lighthouse.
The southern lighthouse is 23 miles closer than the northern lighthouse.
Answers
Answer:
The southern lighthouse is 3.4 miles closer than the northern lighthouse
Step-by-step explanation:
From the figure we see that we need to find the distances AK and BK.
The measure of the third angle K is = 180- 25-35= 120 degrees
Using the sine ratios we can find the two distances
From the figure
The northern distance is given by
20/ sin 120 = kA/ sine 35
KA= 20 sine 35/ sine 120
KA= 13.25 miles
The southern distance is given by
20 /sine 120= KB / sine 25
20 sine 25/ sine 120 = KB
KB= 9.759=9.76 miles
Difference between the two miles =
13.25 miles - 9.76 miles = 3.49 miles
The southern lighthouse is 3.4 miles closer than the northern lighthouse
Option C is correct
Related Questions
Jackie can clean a house in 6 hours. When Jackie and Veronica work together, they can clean a house in about
3.6 hours. About how long will it take Veronica to clean a house if she works by herself?
Answers
Answer:
5.4 hr i think
Step-by-step explanation:
At a circuit-training fitness center, participants are asked to roll 2 dice simultaneously when they complete the circuit. If they roll doubles (both dice show the same number), then they win a water bottle.
Which of the following outcomes of 2 dice rolls would result in a player winning a water bottle? Check all that apply.
1, 1
1, 5
3, 3
2, 3
4, 6
6, 6
5, 6
Answers
Answer:
1,1 3,3 6,6
Step-by-step explanation:
Answer:
Step-by-step explanation:
-8k-3-2k+7 need help asap
Answers
Answer:
-8k-3-2k+7
-10k+4
how to simplify?
(look for like terms)
Find the value of r.
Answers
Answer:
3.75
Step-by-step explanation:
i got you
Step-by-step explanation:
root under 45 is the value of r
What is the inverse of the function f(x) = 2x + 1?
o hex) = x-1
h(x) =
10x) = 3x-2
h(x) = 5x + 2
Answers
Answer:
y = x /2 - 1/2
Step-by-step explanation:
y = h(x)
y = 2x + 1 Interchange x and y
x = 2y + 1 Subtract 1
x - 1 = 2y Divide by 2
x/2 - 1/2 = y
y = x/2 - 1/2
None of your answers look like mine. If there is a mistake somewhere please leave a note.
1/x + 7/x = 4
x = 2
x = 1/2
x = -3/2
x = 3/2
Answers
Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
1/x + 7/x = 4
both sides times by x
=>
1 + 7 = 4x
8 = 4x
or 4x = 8
so, x = 8/2 or x=2
Mr. Deutsch ran 42 miles in 8 hours. What was his miles per hour?
Answers
Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
So, His miles per hour is 3 miles.
Answer:Answer:
3 miles
Step-by-step explanation:
8 hours ----> 42 miles
1 hour
= 24 / 8
= 3 miles
Hope this helps
PLease help me will give branliest! desperate! Find the two missing sides and write your answer as in simplified radical form. image attached.
Answers
Answer:
y=3
x=6
Step-by-step explanation:
We can see from the image below that a= 3
which means that the legnht of y is 3
and the lenght of x is 3*2 or 6
An angle measures 14º more than the measure of its supplementary angle.
What is the measure of each angle?
T
Answers
Answer:
83 and 97
Step-by-step explanation:
Supplementary angles are two angles with a sum of 180 ∘
small angle = x
large angle = x+14
x + (x+14) = 180
2x +14 = 180
2x= 166
x = 83
large = 83 +14 = 97
83+97 = 180
Oliver is playing a game in which he has to choose one of three numbers (6, 7, or 8) and then one of five vowels (a, e, i, o, or u). How many possible outcomes are there?
Answers
Answer:
There are 15 possible outcomes
Step-by-step explanation:
Here, we want to get the number of possible results
From the question, we can see that each of the numbers have 5 different vowel attachment
What this mean is that, we have;
6a , 6e, 6i, 6o and 6u
For the three numbers, the possible results would be;
5 * 3 = 15
foods that build up the immune system
Answers
Answer:
1. Citrus fruits · 2. Red bell peppers · 3. Broccoli · 4. Garlic · 5. Ginger · 6. Spinach · 7. Yogurt · 8. Almonds.
Step-by-step explanation:
Answer:
Citrus fruits.
Red bell peppers.
Broccoli.
Garlic.
Ginger.
Spinach.
Yogurt.
Almonds.
Step-by-step explanation:
(13.01 LC) What is the value of the expression 7 +(16 - 7) = 3 + 8? (2 points) O 12 O 15 O 17 O 18 Question 3
Answers
Answer:
16 > 11
Step-by-step explanation:
7 + (16 - 7) = 3 + 8
7 + 9 = 3 + 8
16 = 3 + 8
16 ≠ 11
or
16 > 11
what is the area of triangle EDF?
Answers
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
Without using a calculator, order the following numbers from least to greatest. sqrt(58) 8 7
Answers
Find the perimeter of the figure.
Answers
Answer:
26 meters
Step-by-step explanation: Ez. First add all the data you already have. You should end up with 19. Then, you want to find the length of the missing side. Well, we know it's 7 meters since its opposite is 7, and these lengths are in the same square. So 19+7 is 26 meters.
Answer:
[tex]26[/tex]
Step-by-step explanation:
perimeter= AB + BC + CE + DE + AD
AB= DE = 7
BC = 5
EC= 3
DE = 7
AD = 4
So, perimeter = 7+ 5+ 3+ 7+ 4
→ 12+ 10 +4
→ 24+ 4
→26
So, 26 is your answer
[tex]----------[/tex]
hope it helps..
have a great day!!
Find the value of x. 43 degrees
Answers
Be prepared to explain
the steps you would take
to solve a real-world
problem
Answers
Answer:
Be prepared as the questions states. Good luck.
Step-by-step explanation:
Write the equation of the line perpendicular to 2y= -x +6 through (4,-8)
A. y= 2x-16
B. y= 1/2x-10
C. y= -1/2x-6
D. y=2x
Answers
Answer:
B is perpendicular to 2y=-x+6
The number of pages read by two students each day for 5 days are listed in the table.
Pages Read
Student
Number of Pages in Each Book
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75
Which statements are true regarding the two data sets? Check all that apply.
The means for both data sets are equal.
The means for the data sets are not equal.
The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
The range of the number of pages that Lionel read is 75.
The range of the number of pages that Aaron read is 50.
Answers
Answer:
Means for both are equal
Range for Lionel is greater than for Aaron
Range for Lionel is 75
Step-by-step explanation:
Answer:
person above is right
Step-by-step explanation:
if a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
a) 9x/2
b) 2x miles
c) 3x/2 miles
d) x/2 miles
Answers
Hope this helps and if I’m wrong pls don’t bash me lol.
Plz help will mark brainliest plz show work
Answers
Answer:
look at the picture i have sent
pls help im finna fail!!!
Enter the given equation in exponential format.
log base7/8 * 56x = 18y
Answers
i put it into mathxway
What are simultaneous equations
Answers
Answer:
Simultaneous equations are equations involving two or more unknowns that are to have the same values in each equation.
if a plant grew from 6 inches, by 10 inches by, what percent did it increase
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Step-by-step explanation:
Find the value of x.
X=
Answers
Answer:
x = 65
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral sum to 180° , then
x + 115 = 180 ( subtract 115 from both sides )
x = 65
Here are the city gas mileages for 13 different midsized cars in 2008. 16, 15, 22, 21, 24, 19, 20, 20, 21, 27, 18, 21, 48 What is the first quartile?
Answers
Answer:
Q1 --> 18.5
Step-by-step explanation:
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Answers
Answer:
science is not made but it exists by its self normally
How would someone Algebraically determine X-Y intercepts?
Answers
Answer:
y-int: -6
x-int: -2/5 and 3
Step-by-step explanation:
you can find the y-intercept by substituting zero in for every 'x' in the equation;
y = 5(0) - 13(0) - 6
y = -6
to find the x-intercept(s), factor the trinomial by trying to find a pair of factors that multiply to 6 and add to -13; the factors that work are:
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x = -2/5
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Find the area of the quarter circle with a radius of 18 cm. Use 3.14 for Pi and round the answer to the nearest hundredth.